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12300000303300 = 223522111259154339
BaseRepresentation
bin1011001011111101000100…
…1001100001100011000100
31121112212110011120112120220
42302333101021201203010
53103010400034201200
642054313033424340
72406434321350203
oct262772111414304
947485404515526
1012300000303300
113a12445568a66
1214679a526b0b0
136b2b675c6558
14307474b9d23a
15164e4063e4a0
hexb2fd12618c4

12300000303300 has 144 divisors (see below), whose sum is σ = 35785297094400. Its totient is φ = 3261841027200.

The previous prime is 12300000303281. The next prime is 12300000303317. The reversal of 12300000303300 is 330300000321.

It is a super-2 number, since 2×123000003033002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12300000303300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79617531 + ... + 79771869.

It is an arithmetic number, because the mean of its divisors is an integer number (248509007600).

Almost surely, 212300000303300 is an apocalyptic number.

12300000303300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12300000303300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17892648547200).

12300000303300 is an abundant number, since it is smaller than the sum of its proper divisors (23485296791100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12300000303300 is a wasteful number, since it uses less digits than its factorization.

12300000303300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155826 (or 155819 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 12300000303300 its reverse (330300000321), we get a palindrome (12630300303621).

The spelling of 12300000303300 in words is "twelve trillion, three hundred billion, three hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 211 300 422 633 844 1055 1259 1266 2110 2518 2532 3165 3777 4220 5036 5275 6295 6330 7554 10550 12590 12660 15108 15825 18885 21100 25180 31475 31650 37770 62950 63300 75540 94425 125900 154339 188850 265649 308678 377700 463017 531298 617356 771695 796947 926034 1062596 1328245 1543390 1593894 1852068 2315085 2656490 3086780 3187788 3858475 3984735 4630170 5312980 6641225 7716950 7969470 9260340 11575425 13282450 15433900 15938940 19923675 23150850 26564900 32565529 39847350 46301700 65131058 79694700 97696587 130262116 162827645 194312801 195393174 325655290 388625602 390786348 488482935 582938403 651310580 777251204 814138225 971564005 976965870 1165876806 1628276450 1943128010 1953931740 2331753612 2442414675 2914692015 3256552900 3886256020 4857820025 4884829350 5829384030 9715640050 9769658700 11658768060 14573460075 19431280100 29146920150 41000001011 58293840300 82000002022 123000003033 164000004044 205000005055 246000006066 410000010110 492000012132 615000015165 820000020220 1025000025275 1230000030330 2050000050550 2460000060660 3075000075825 4100000101100 6150000151650 12300000303300